In this work, we propose an original method for aggregating multiple clustering coming from different sources of information. Each partition is encoded by a co-membership matrix between observations. Our approach uses a mixture of multilayer Stochastic Block Models (SBM) to group co-membership matrices with similar information into components and to partition observations into different clusters, taking into account their specificities within the components. The identifiability of the model parameters is established and a variational Bayesian EM algorithm is proposed for the estimation of these parameters. The Bayesian framework allows for selecting an optimal number of clusters and components. The proposed approach is compared using synthetic data with consensus clustering and tensor-based algorithms for community detection in large-scale complex networks. Finally, the method is utilized to analyze global food trading networks, leading to structures of interest.

该研究提出了一种用于聚合来自不同信息源的多个聚类的原始方法，使用多层随机块模型（SBM）的混合来将具有相似信息的共成员矩阵分组为组件，并将观测分割为不同的聚类，考虑它们在组件内的特定性。该方法对模型参数的可识别性进行了建立，并提出了一种变分Bayesian EM算法来估计这些参数，通过贝叶斯框架选择了最佳的聚类和组件个数。该方法在合成数据、共识聚类和基于张量的大规模复杂网络社区检测算法上进行了比较，最后将该方法应用于全球食品贸易网络的分析，得到了有趣的结构。

多视图聚类的多层随机块模型混合